Working Paper Number
WP #03013, March 2003 revised November 2003; Old working paper #10253
This paper takes a discrete-time adaptation of the continuous−time matching economy described in Pissarides (1990, 2000), and computes the solution to the dynamic planning problem. The solution is shown to be completely characterized by a first−order, non−linear map. We show that the map admits a unique stationary solution which is dynamically unstable. Oscillatory solutions are possible but there is no possibility of periodic solutions. The planner picks the initial condition that places the economy directly on the steady state. Our results are in sharp contrast to received wisdom on out−of−steady−state dynamics in the continuous−time decentralized version of the Pissarides model where adjustment to the steady state is non−instantaneous, and overshooting of vacancies is possible.
Published in Economics Bulletin, Vol. 5 no. 19 (December 2003): 1-10.
Bhattacharya, Joydeep and Bunzel, Helle, "Dynamics of the planning solution in the discrete-time textbook model of labor market search and matching." (2003). Economics Working Papers (2002–2016). 190.